What are the coordinates of the point that partitions BA according to the part-to-part ratio 2:3? B(-6,1) A(4,6)

Answer 1

Since BA is being divided in the ratio 2:3, we are dividing it into 5 equal parts (5 = 2+3)

We are looking for the point P on BA that is 2/5 of the way from B to A.

x-coordinate of P = (x-coordinate of B) + 2/5(change in x from B to A) = -6 + 2/5(10) = -2

y-coordinate of P = (y-coordinate of B) + 2/5(change in y from B to A) = 1 + 2/5(5) = 3

P = (-2,3)